138006728641964
138,006,728,641,964 is an even composite number composed of seven prime numbers multiplied together.
138006728641964 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138006728641964:
22 × 73 × 13 × 17 × 181 × 307 × 8191
(2 × 2 × 7 × 7 × 7 × 13 × 17 × 181 × 307 × 8191)See below for interesting mathematical facts about the number 138006728641964 from the Numbermatics database.
Names of 138006728641964
- Cardinal: 138006728641964 can be written as One hundred thirty-eight trillion, six billion, seven hundred twenty-eight million, six hundred forty-one thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 1.38006728641964 × 1014
Factors of 138006728641964
Divisors of 138006728641964
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 181 182 196 221 238 307 343 362 364 442 476 614 637 686 724 833 884 1228 1267 1274 1372 1547 1666 2149 2353 2534 2548 3077 3094 3332 3991 4298 4459 4706 5068 5219 5831 6154 6188 7982 8191 8596 8869 8918 9412 10438 10829 11662 12308 15043 15964 16382 16471 17738 17836 20876 21539 21658 23324 27937 30086 32764 32942 35476 36533 40001 43078 43316 55567 55874 57337 60172 62083 65884 67847 73066 75803 80002 86156 105301 106483 111134 111748 114674 115297 124166 135694 139247 146132 150773 151606 160004 195559 210602 212966 222268 229348 230594 248332 255731 271388 278494 280007 301546 303212 388969 391118 401359 421204 425932 461188 474929 511462 556988 560014 603092 722371 745381 777938 782236 802718 807079 944639 949858 974729 1022924 1055411 1120028 1368913 1444742 1482571 1490762 1555876 1605436 1614158 1790117 1810211 1889278 1899716 1949458 1960049 2110822 2514637 2722783 2737826 2809513 2889484 2965142 2981524 3228316 3324503 3580234 3620422 3778556 3898916 3920098 4221644 5029274 5056597 5217667 5445566 5475652 5619026 5930284 6612473 6649006 6823103 7160468 7240844 7840196 10058548 10113194 10377997 10435334 10891132 11238052 12280307 12671477 13224946 13298012 13646206 13720343 17602459 19059481 19273423 20226388 20755994 20870668 23271521 24560614 25203707 25342954 26449892 27292412 27440686 32690281 35204918 35396179 36523669 38118962 38546846 41511988 42748829 46287311 46543042 47761721 49121228 50407414 50685908 54881372 65380562 70409836 70792358 72645979 73047338 76237924 77093692 85497658 85962149 88700339 92574622 93086084 95523442 100814828 123217213 130761124 134913961 141584716 145291958 146094676 170995316 171924298 176425949 177400678 185149244 191046884 228831967 246434426 247773253 269827922 290583916 299241803 324011177 327648191 343848596 352851898 354801356 455149297 457663934 492868852 495546506 508521853 539655844 555734777 598483606 601735043 620902373 648022354 655296382 705703796 862520491 910298594 915327868 944397727 991093012 1017043706 1111469554 1196967212 1203470086 1234981643 1241804746 1296044708 1310592764 1601823769 1725040982 1820597188 1888795454 2034087412 2094692621 2222939108 2293537337 2406940172 2469963286 2483609492 3186045079 3203647538 3450081964 3777590908 3890143439 4189385242 4212145301 4587074674 4939926572 5916940861 6372090158 6407295076 6610784089 7737538049 7780286878 8378770484 8424290602 8644871501 9174149348 11212766383 11833881722 12744180316 13221568178 14662848347 15475076098 15560573756 16054761359 16848581204 17289743002 22302315553 22425532766 23667763444 26443136356 27231004073 29325696694 30950152196 32109522718 34579486004 41418586027 44604631106 44851065532 54162766343 54462008146 58651393388 64219045436 82837172054 89209262212 100587994637 108325532686 108924016292 112383329513 156116208871 165674344108 190617028511 201175989274 216651065372 224766659026 289930102189 312232417742 379139364401 381234057022 402351978548 449533318052 579860204378 624464835484 704115962459 758278728802 762468114044 1159720408756 1408231924918 1516557457604 2029510715323 2653975550807 2816463849836 4059021430646 4928811737213 5307951101614 8118042861292 9857623474426 10615902203228 19715246948852 34501682160491 69003364320982 138006728641964
- Sum of all divisors σ(n): 324019106611200
- Sum of proper divisors (its aliquot sum) s(n): 186012377969236
- 138006728641964 is an abundant number, because the sum of its proper divisors (186012377969236) is greater than itself. Its abundance is 48005649327272
Bases of 138006728641964
- Binary: 111110110000100001100100000100110001101101011002
- Hexadecimal: 0x7D8432098DAC
- Base-36: 1CX3EZ06UK
Squares and roots of 138006728641964
- 138006728641964 squared (1380067286419642) is 19045857150456686679701777296
- 138006728641964 cubed (1380067286419643) is 2628456439516685674122602708053719248049344
-
The
square root of 138006728641964 is 11747626.5110005945 -
The
cube root of 138006728641964 is 51677.3323955323
Scales and comparisons
How big is 138006728641964?- 138,006,728,641,964 seconds is equal to 4,388,187 years, 4 weeks, 4 days, 32 minutes, 44 seconds.
-
To count from 1 to 138,006,728,641,964 would take you about ten million, nine hundred seventy thousand, four hundred sixty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138006728641964 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138006728641964
- 138006728641964 backwards is 469146827600831
- The number of decimal digits it has is: 15
- The sum of 138006728641964's digits is 65
- More coming soon!
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